How to write a quadratic of it's factors using quadratic formula

The video tutorial explains how to express a quadratic polynomial as linear factors using the linear factorization theorem. It discusses the potential for complex, real, or imaginary factors and explores methods like synthetic division and the quadratic formula to find zeros. The tutorial also covers simplifying radicals and converting zeros to factors, while highlighting alternative methods like completing the square and the limitations of graphing for irrational numbers.

What is the maximum number of linear factors a quadratic function can have?

• Four

• Three

• Two

• One

Which of the following is a possible rational zero for the quadratic function given in the video?

• 2

• -2

• 3

• 1

What method can be used to find zeros when a polynomial is non-factorable?

• Quadratic Formula

• Rational Zero Test

• Synthetic Division

• Graphing

What is the simplified form of the square root of 12?

• 3√2

• √6

• 4√3

• 2√3

How do you express a zero, X = a, as a factor of a polynomial?

• X/a

• X + a

• X - a

• aX

Which method can also be used to solve the quadratic equation besides the quadratic formula?

• Rational Zero Test

• Synthetic Division

• Completing the Square

• Graphing

Why is it important to express solutions in exact form rather than decimal approximations?

• Decimals are easier to understand

• Exact forms are more accurate

• Decimals are more precise

• Exact forms are less useful